关于mosaic空间的性质

On Mosaic Space

Mosaic空间是一类重要的广义度量空间 ,本文的主要结果如下 :(1)mosaic空间的开象不一定是mosaic空间 .(2 )若X是完备空间 ,Y是mosaic空间 ,则X×Y也是完备空间 .(3)若X是完备lindel f空间 ,Y是分层mosaic空间 。

mosaic space is an importent generalized metric space,the main results of this paper are:(1) The image of an mosaic space under open mapping may not be mosaic space.(2) If X is a perfect space, Y is an mosaic space,then X×Y is also a perfect space.(3)If X is a perfect lindelf space, Y is a stratifiable mosaic space,then X×Y is a paracompact space.